Relation between Worldline Green Functions for Scalar Two-Loop Diagrams

Abstract

We discuss a relation between two-loop bosonic worldline Green functions which are obtained by Schmidt and Schubert in two different parametrizations of a two-loop worldline. These Green functions are transformed into each other by some transformation rules based on reparametrizations of the proper time and worldline modular parameters.

9 pages, Latex, one reference added, few minor corrections made, to appear in Phys. Lett. B

References in corpus (12)

• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Field Theory Without Feynman Diagrams: One-Loop Effective Actions
• One-Loop Corrections to Five-Gluon Amplitudes
• One-Loop Corrections to Two-Quark Three-Gluon Amplitudes
• One-Loop N Gluon Amplitudes with Maximal Helicity Violation via Collinear Limits
• On the Calculation of Effective Actions by String Methods
• String-Based Methods in Perturbative Gravity
• Calculation of Graviton Scattering Amplitudes using String-Based Methods
• Worldline Green Functions for Multiloop Diagrams
• Yukawa Couplings for the Spinning Particle and the World Line Formalism
• Multiloop String-Like Formulas for QED
• Relations between some analytic representations of one-loop scalar integrals

Cited by in corpus (11)

• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals
• Multiloop World-Line Green Functions from String Theory
• Exact Combinatorics of Bern-Kosower-type Amplitudes for Two-Loop ${\Phi }^3$ Theory
• World-line approach to the Bern-Kosower formalism in two-loop Yang-Mills theory
• Two-loop Yang-Mills theory in the world-line formalism and an Euler-Heisenberg type action
• Multiloop ${\Phi }^3$ Amplitudes from Bosonic String Theory
• Anatomy of Two-Loop Effective Action in Noncommutative Field Theories
• Pinched Gluon Vertex Operator in Super-Worldline Formalism
• Integral representations of thermodynamic 1PI Green functions in the world-line formalism
• World-line Green functions with momentum and source conservations